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Finding the Fourth Proportional to 56,355.84, 77,771.19 and 30,514.65

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Solution

The fourth proportional to 56,355.84, 77,771.19 and 30,514.65 is: 42,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,355.84 : 77,771.19 = 30,514.65 : x
  2. Step 2: Convert to fraction form
    56,355.84/77,771.19 = 30,514.65/x
  3. Step 3: Cross multiply
    56,355.84x = 77,771.19 × 30,514.65
  4. Step 4: Simplify right side
    56,355.84x = 2,373,160,642.93
  5. Step 5: Solve for x
    x = 2,373,160,642.93/56,355.84
  6. Step 6: Final answer
    x = 42,110.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.